Abstract
We compute the pion Generalized Parton Distribution (GPD) in a valence dressed quarks approach. We model the Mellin moments of the GPD using Ansätze for Green functions inspired by the numerical solutions of the Dyson-Schwinger Equations (DSE) and the Bethe-Salpeter Equation (BSE). Then, the GPD is reconstructed from its Mellin moment using the Double Distribution (DD) formalism. The agreement with available experimental data is very good.
Highlights
Introduced in the 1990s,1–3 Generalized Parton Distribution (GPD) have been intensively studied both theoretically and experimentally
We focus on the pion GPD, which we model in an original way through the triangle approximation, but using propagators and vertices coming from the numerical solutions of the Dyson-Schwinger Equations (DSE) and Bethe-Salpeter Equation (BSE)
This approach have been successful in the case of the pion Parton Distribution Amplitude (PDA).[10]
Summary
Introduced in the 1990s,1–3 GPDs have been intensively studied both theoretically and experimentally. We focus on the pion GPD, which we model in an original way through the triangle approximation, but using propagators and vertices coming from the numerical solutions of the DSE and BSE. This approach have been successful in the case of the pion Parton Distribution Amplitude (PDA).[10] In the first section, the details of the model will be given. Symmetry questions will be highlighted allowing us to go beyond the triangle diagram approximation This is an Open Access article published by World Scientific Publishing Company. Further distribution of this work is permitted, provided the original work is properly cited
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